here a posteriori error estimate for the numerical solution of nonlinear voltena- hammerstein equations is given. we present an error upper bound for nonlinear voltena-hammastein integral equations, in which the form of nonlinearity is algebraic and develop a posteriori error estimate for the recently proposed method of brunner for these problems (the implicitly linear collocation method).we al...

In this paper, a new method for developing a lower bound on exact completion time distribution function of stochastic PERT networks is provided that is based on simplifying the structure of this type of network. The designed mechanism simplifies network structure by arc duplication so that network distribution function can be calculated only with convolution and multiplication. The selection of...

Here a posteriori error estimate for the numerical solution of nonlinear Voltena- Hammerstein equations is given. We present an error upper bound for nonlinear Voltena-Hammastein integral equations, in which the form of nonlinearity is algebraic and develop a posteriori error estimate for the recently proposed method of Brunner for these problems (the implicitly linear collocation method)...

The authors thank Latvrence Goulder, Raymond Kopp, William Nordhaus, Richard Schmalensee, Marlin Weitzman, David Wheeler, and participants in seminars at Harvard University and Resources for the Future for helpful comment.S'. Funding for previou.S' work on this subject frorn the u. s. Departn1ent of Com1nerce is gratefillly acknotvledged. The tJuthor.S' alone are re.S'ponsible for any olni.S'si...

Being motivated in terms of mathematical concepts from the theory of electrical networks, Klein & Ivanciuc introduced and studied a new graph-theoretic cyclicity index–the global cyclicity index (Graph cyclicity, excess conductance, and resistance deficit, J. Math. Chem. 30 (2001) 271–287). In this paper, by utilizing techniques from graph theory, electrical network theory and real analysis, we...

The forgotten topological index is defined as the sum of cubes of the degrees of the vertices of the molecular graph G. In this paper, we obtain, analyze, and compare various lower bounds for the forgotten topological index involving the number of vertices, edges, and maximum and minimum vertex degree. Then we give Nordhaus–Gaddumtype inequalities for the forgotten topological index and coindex...

EDITORIAL SYNOPSIS These pharmacological studies on human alimentary smooth muscle show that different regions of gut respond differently. Where a response is obtained it is due to a direct action on the muscle. It is generally accepted that alimentary smooth muscle contracts in the presence of 5-hydroxy-tryptamine (5-HT). This appears to be true for several animal species. Erspamer (1940, 1952...